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A electric dipole of dipole moment p→=9i^+3j^−3k^ is place at the point M(2, -3, 1). If the electric potential due to this dipole at the point N(4, -1, 0) is N×109volt . Then find N, if the given data is in S.I units

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answer is 9.

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Detailed Solution

M¯N¯=(r→)=(4−2)2+(−1+3)2+(0−1)2 =9=3v=k(p¯)cosθ(r→)2cosθ=p→.r→(p→)(r→)=(9i^+3j^−3k^).(2i^+2j^−k^)999⇒V=9×109×999×27999 = 9×109 V

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A electric dipole of dipole moment p→=9i^+3j^−3k^ is place at the point M(2, -3, 1). If the electric potential due to this dipole at the point N(4, -1, 0) is N×109volt . Then find N, if the given data is in S.I units